benchmarks.wiki / Public workspace
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Omni-MATH / Alex is stuck on a platform floating over an abyss at 1ft/s. An evil physicist has arranged for the platform to fall in (taking Alex with it) after traveling 100ft. One minute afte…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
Alex is stuck on a platform floating over an abyss at . An evil physicist has arranged for the platform to fall in (taking Alex with it) after traveling 100ft. One minute after the platform was launched, Edward arrives with a second platform capable of floating all the way across the abyss. He calculates for 5 seconds, then launches the second platform in such a way as to maximize the time that one end of Alex's platform is between the two ends of the new platform, thus giving Alex as much time as possible to switch. If both platforms are 5 ft long and move with constant velocity once launched, what is the speed of the second platform (in )?
Plain-text mathematical notation (without MathML)
Alex is stuck on a platform floating over an abyss at 1ft/s. An evil physicist has arranged for the platform to fall in (taking Alex with it) after traveling 100ft. One minute after the platform was launched, Edward arrives with a second platform capable of floating all the way across the abyss. He calculates for 5 seconds, then launches the second platform in such a way as to maximize the time that one end of Alex's platform is between the two ends of the new platform, thus giving Alex as much time as possible to switch. If both platforms are 5 ft long and move with constant velocity once launched, what is the speed of the second platform (in ft/s)?
Original LaTeX notation
Alex is stuck on a platform floating over an abyss at $1 \mathrm{ft} / \mathrm{s}$. An evil physicist has arranged for the platform to fall in (taking Alex with it) after traveling 100ft. One minute after the platform was launched, Edward arrives with a second platform capable of floating all the way across the abyss. He calculates for 5 seconds, then launches the second platform in such a way as to maximize the time that one end of Alex's platform is between the two ends of the new platform, thus giving Alex as much time as possible to switch. If both platforms are 5 ft long and move with constant velocity once launched, what is the speed of the second platform (in $\mathrm{ft} / \mathrm{s}$)?Discussion
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Source and history
- task_id
7bc79264-6a79-5856-92c3-34bda55b6cc4- task_key
test--7bc79264-6a79-5856-92c3-34bda55b6cc4- task_revision_id
- 1
- config / split
- / test
initial import